-7(x-3)=-5(x+3)

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Solution for -7(x-3)=-5(x+3) equation:


Simplifying
-7(x + -3) = -5(x + 3)

Reorder the terms:
-7(-3 + x) = -5(x + 3)
(-3 * -7 + x * -7) = -5(x + 3)
(21 + -7x) = -5(x + 3)

Reorder the terms:
21 + -7x = -5(3 + x)
21 + -7x = (3 * -5 + x * -5)
21 + -7x = (-15 + -5x)

Solving
21 + -7x = -15 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
21 + -7x + 5x = -15 + -5x + 5x

Combine like terms: -7x + 5x = -2x
21 + -2x = -15 + -5x + 5x

Combine like terms: -5x + 5x = 0
21 + -2x = -15 + 0
21 + -2x = -15

Add '-21' to each side of the equation.
21 + -21 + -2x = -15 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = -15 + -21
-2x = -15 + -21

Combine like terms: -15 + -21 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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